Definition:Percentile
(Redirected from Definition:Centile)
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Definition
Let $D$ be a finite collection of data regarding some quantitative variable.
Let $D$ be divided into precisely $100$ class intervals.
A $P$th percentile is a value in the interval defined by the $P$th class such that:
- $\dfrac P {100}$ of the data in $D$ fall at or below the value chosen
- $1 - \dfrac P {100}$ of the data in $D$ fall at or above the value chosen.
Arbitrarily more precise definitions may be contrived as necessary to define a unique percentile for a given study.
Also known as
A percentile is also known as a centile.
Also see
- Results about percentiles can be found here.
Sources
- 2011: Charles Henry Brase and Corrinne Pellillo Brase: Understandable Statistics (10th ed.): $\S 3.3$
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): percentile
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): percentile